Perimeter and Area of Rhombi, Trapezoids, and Kites Answers

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On a coordinate plane, trapezoid A B C D has points (negative 3, negative 2), (negative 1, 2), (3, 2), and (5, negative 2).

Question illustration
A
16 square units
B
24 square units
C
32 square units
D
48 square units
2
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Rhombus A B C D is shown. Lines are drawn from point A to point C and from point D to point B and intersect at point E. All sides are congruent.

Question illustration
A
9
B
10
C
14
D
16
3

A kite is shown. Lines are drawn from each point to the opposite point to form a letter t.

Question illustration
A
48 sq. cm
B
96 sq. cm
C
144 sq. cm
D
192 sq. cm
4

A rhombus with congruent sides is shown. Diagonals are drawn. The length of one diagonal is 6, and the length of the other diagonal is 8. The diagonals intersect to cut the lengths in half.

Question illustration
A
12 square units
B
18 square units
C
24 square units
D
48 square units
5

Kite E F G H is inscribed in a rectangle. Points F and H are midpoints of sides of the rectangle, and creates a side length of x. Lines are drawn from point F to point H and from point E to point G and intersect at a point. Line E G is parallel to a rectangle side. The distance from point F to the intersection is 2, and the distance from H to the intersection is 5.

Question illustration
A
4 units
B
5 units
C
6 units
D
7 units
6

The area of a rhombus is 65 square units. The length of one diagonal is 13 units. What is the length of the other diagonal?

A
5 units
B
6 units
C
10 units
D
12 units
7

A kite is inscribed within a square with a side lengths of 9 units.

Question illustration
A
27.5 square units
B
36.0 square units
C
40.5 square units
D
45.0 square units
8

A kite has vertices at (2, 4), (5, 4), (5, 1), and (0, –1).What is the approximate perimeter of the kite? Round to the nearest tenth.

A
11.3 units
B
13.6 units
C
16.8 units
D
20.0 units
9

A trapezoid is shown. The lengths of the bases are 4 and 8. The height of the altitude is 4.

Question illustration
A
16 square units
B
24 square units
C
32 square units
D
36 square units
10

The area of the trapezoid is 40 square units.

Question illustration
A
3 units
B
5 units
C
10 units
D
12 units

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